Power sums of Hecke eigenvalues of Maass cusp forms

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• 作者：J. Wu ; Z. Xu
• 关键词：Fourier coefficients of automorphic forms ; Dirichlet series ; 11F30 ; 11F66
• 刊名：The Ramanujan Journal
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：36
• 期：3
• 页码：439-453
• 全文大小：578 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Number Theory
  Field Theory and Polynomials
  Combinatorics
  Fourier Analysis
  Functions of a Complex Variable
  
• 出版者：Springer U.S.
• ISSN：1572-9303

文摘

In this paper, we establish lower and upper bounds for real positive power sums of Hecke eigenvalues of Maass cusp forms. In particular, we improve a recent result of Holowinsky (Duke Math. J. 146(3):401-48, 2009).